Image de couverture de livre

Acceleration of multi-component multiple-precision arithmetic with branch-free algorithms and SIMD vectorization

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Kouya, Tomonori
Format:	Preprint
Publié:	2026
Sujets:	Mathematical Software Numerical Analysis
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Performance evaluation of accelerated real and complex multiple-precision sparse matrix-vector multiplication
par: Kouya, Tomonori
Publié: (2024)

Performance evaluation of accelerated complex multiple-precision LU decomposition
par: Kouya, Tomonori
Publié: (2024)

Faster arbitrary-precision dot product and matrix multiplication
par: Johansson, Fredrik
Publié: (2019)

A square root algorithm faster than Newton's method for multiprecision numbers, using floating-point arithmetic
par: Romano, Fabio
Publié: (2024)

Some new techniques to use in serial sparse Cholesky factorization algorithms
par: Karsavuran, M. Ozan, et autres
Publié: (2024)

An abstraction for solving multi-domain problems using finite element methods
par: Sagiyama, Koki, et autres
Publié: (2025)

Assessing the Performance of Mixed-Precision ILU(0)-Preconditioned Multiple-Precision Real and Complex Krylov Subspace Methods
par: Kouya, Tomonori
Publié: (2025)

Type-II/III DCT/DST algorithms with reduced number of arithmetic operations
par: Shao, Xuancheng, et autres
Publié: (2007)

Mixed-precision finite element kernels and assembly: Rounding error analysis and hardware acceleration
par: Croci, M., et autres
Publié: (2024)

Solving Multivariate Polynomial Systems and Rectangular Multiparameter Eigenvalue Problems with MacaulayLab
par: Vermeersch, Christof, et autres
Publié: (2026)

BioNetFlux: A Python Framework for Reaction--Diffusion--Chemotaxis Simulations on One-Dimensional Network Geometries
par: Bertoluzza, Silvia
Publié: (2026)

High-Order Mesh r-Adaptivity with Tangential Relaxation and Guaranteed Mesh Validity
par: Mittal, Ketan, et autres
Publié: (2026)

Automated dimensional analysis for PDEs
par: Habera, Michal, et autres
Publié: (2026)

Implementation of QR factorization of tall and very skinny matrices on current GPUs
par: Thies, Jonas, et autres
Publié: (2026)

High-Order Lie Derivatives from Taylor Series in the ADTAYL Package
par: Nedialkov, Nedialko S., et autres
Publié: (2026)

Multigrid methods for the Stokes problem on GPU systems
par: Cui, Cu, et autres
Publié: (2024)

A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances
par: Ekanathan, Shreyas, et autres
Publié: (2024)

Transformations of Computational Meshes
par: Knepley, Matthew G.
Publié: (2025)

Performance of linear solvers in tensor-train format on current multicore architectures
par: Röhrig-Zöllner, Melven, et autres
Publié: (2023)

Mixed Precision Block-Jacobi Preconditioner: Algorithms, Performance Evaluation and Feature Analysis
par: Tian, Ningxi, et autres
Publié: (2024)

PDE-Constrained High-Order Mesh Optimization
par: Kolev, Tzanio, et autres
Publié: (2025)

Fast Mixed-Precision Real Evaluation
par: Yadrov, Artem, et autres
Publié: (2025)

Mean and Variance Estimation by Kriging
par: Suslo, Tomasz
Publié: (2004)

Performance of explicit and IMEX MRI multirate methods on complex reactive flow problems within modern parallel adaptive structured grid frameworks
par: Loffeld, John J., et autres
Publié: (2022)

Fast Mixed-Precision Real Evaluation
par: Yadrov, Artem, et autres
Publié: (2024)

Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries
par: Mittal, Ketan, et autres
Publié: (2024)

Implementation of the Emulator-based Component Analysis
par: Vladyka, Anton, et autres
Publié: (2023)

ODE Test Problems: a MATLAB suite of initial value problems
par: Roberts, Steven, et autres
Publié: (2019)

Differentiating Through Linear Solvers
par: Hovland, Paul, et autres
Publié: (2024)

High-performance finite elements with MFEM
par: Andrej, Julian, et autres
Publié: (2024)

MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs
par: Innerberger, Michael, et autres
Publié: (2022)

Efficient space-time reduced order model for linear dynamical systems in Python using less than 120 lines of code
par: Kim, Youngkyu, et autres
Publié: (2020)

Improving Interoperability in Scientific Computing via MaRDI Open Interfaces
par: Kabanov, Dmitry I., et autres
Publié: (2025)

Anatomy of High-Performance Column-Pivoted QR Decomposition
par: Melnichenko, Maksim, et autres
Publié: (2025)

Low-Rank SPIKE Framework for Solving Large Sparse Linear Systems with Applications
par: Spring, Braegan S., et autres
Publié: (2025)

A new object-oriented framework for solving multiphysics problems via combination of different numerical methods
par: Sargado, Juan Michael
Publié: (2019)

A Monadic, Functional Implementation of Real Numbers
par: O'Connor, Russell
Publié: (2006)

Algorithm xxx: Faster Randomized SVD with Dynamic Shifts
par: Feng, Xu, et autres
Publié: (2024)

ARKODE: a flexible IVP solver infrastructure for one-step methods
par: Reynolds, Daniel R., et autres
Publié: (2022)

Approximations of the integral of a class of sinusoidal composite functions
par: Costa, Alberto
Publié: (2024)